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• W2765152325 abstract "Abstract A mathematical model of an immobilized enzyme system with Michaelis-Menten mechanism for an irreversible reaction is discussed. The model is developed on the basis of diffusion equations containing a nonlinear term related to Michaelis-Menten (M-M) kinetics. In this paper, Legendre wavelets operational matrix of derivatives are used to solve the nonlinear reaction-diffusion equations. The concentration profile of substrate is computed for various parameter values. Also the dimensionless concentration of substrate is established for the slab, cylinder and spherical pallets in different cases. An approximate/analytical expression for substrate concentration is obtained as a function of the Thiele modulus and the Michaelis constant. The proposed wavelet solutions are compared with Adomian decomposition method (ADM) and numerical solutions. Satisfactory agreement with ADM and numerical is observed for all Thiele modulus and M-M constants. Power of the proposed methods is confirmed." @default.
• W2765152325 created "2017-11-10" @default.
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• W2765152325 date "2018-12-01" @default.
• W2765152325 modified "2023-10-14" @default.
• W2765152325 title "Two reliable computational methods pertaining to steady state substrate concentration of an immobilized enzyme system" @default.
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• W2765152325 doi "https://doi.org/10.1016/j.aej.2017.09.012" @default.
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